A new construction of p-adic Rankin convolutions in the case of positive slope
| dc.creator | Vienney, Mathieu | |
| dc.date | 2009-03-02 | |
| dc.date | 2009-05-19 | |
| dc.date.accessioned | 2026-07-07T13:15:48Z | |
| dc.date.available | 2026-07-07T13:15:48Z | |
| dc.description | Given two newforms $f$ and $g$ of respective weights $k$ and $l$ with $k<l$, Hida constructed a $p$-adic $L$-function interpolating the values of the Rankin convolution of $f$ and $g$ in the critical strip $l \leq s \leq k$. However, this construction works only if $f$ is an ordinary form. Using a method developed by Panchishkin to construct $p$-adic $L$-function associated with modular forms, we generalize this construction to the case where the slope of $f$ is small. | |
| dc.description | Minor changes | |
| dc.identifier | https://arxiv.org/abs/0903.0408 | |
| dc.identifier | http://arxiv.org/abs/0903.0408 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230588 | |
| dc.subject | Number Theory | |
| dc.subject | 11F33; 11F67; 11F30 | |
| dc.title | A new construction of p-adic Rankin convolutions in the case of positive slope | |
| dc.type | text |